Top person sorted by normalized score

At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.

Clearly one 100,000,000 digit prime is much harder to discover than quite a few 100,000 digit primes. Based on the usual estimates we score the top persons, provers and projects by adding ‎(log n)³ log log n‎ for each of their primes n. Click on 'score' to see these lists.

Finally, to make sense of the score values, we normalize them by dividing by the current score of the 5000th prime. See these by clicking on 'normalized score' in the table on the right.

normalized person primes score 385244 Luke Durant 1 58.0015 92691 Curtis Cooper 10 56.5769 83409 Patrick Laroche 1 56.4714 67953 Jonathan (Jon) Pace 1 56.2664 53350 Ryan Propper 337.5 56.0245 13082 Serge Batalov 317.333 54.6189 11433 Edson Smith 1 54.4841 11057 Odd Magnar Strindmo 1 54.4507 7256 Hans-Michael Elvenich 1 54.0294 4391 Steven R. Boone 1 53.5273 4240 Péter Szabolcs 1 53.4922 3699 Tom Greer 121 53.3556 2424 Dr. Martin Nowak 1 52.9330 2304 Anonymous Person(s) 238 52.8821 2120 Dr. James Scott Brown 171 52.7990 1914 Josh Findley 1 52.6968 1625 Pavel Atnashev 12 52.5331 1595 Rob Gahan 30 52.5143 1487 Piotr Chodzinski 2 52.4441 1442 Kazuya Tanaka 1 52.4136

Notes:

normalized score

Just how do you make sense out of something as vague as our 'score' for primes? One possibility is to compare the amount of effort involved in earning that score, with the effort required to find the 5000th prime on the list. The normalized score does this: it is the number of primes that are the size of the 5000th, required to earn the same score (rounded to the nearest integer).

Note that if a person stops finding primes, its normalized score will steadily drop as the size of the 5000th primes steadily increases. The non-normalized scores drop too, but not as quickly because they only drop when the person's primes are pushed off the list.